Sydney Shoemaker has claimed that functionalism, a theory\nabout mental states, implies a certain theory about the\nidentity over time of persons, the entities that have\nmental states. He also claims that persons can survive a\n"Brain-State-Transfer" procedure. My examination of these\nclaims includes description and analysis of imaginary\ncases, but--notably--not appeals to our "intuitions"\nconcerning them. It turns out that Shoemaker's basic\ninsight is correct. But there is no implication that it is\nnecessary. (edited)